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- Question
Ali and Faizer are 27m apart. They both start walking and meet 9 hrs later, if they travel in the same direction and meet after 3 hrs if they walk in opposite dirction, Ali?s speed must most likely be ?
Options- A. 9 m/h
- B. 3 m/h
- C. 6 m/h
- D. 12 m/h
- Correct Answer
- 6 m/h
Explanationlet, speed of Ali=X mph and Faizer=Y mph
Now, relative speed when Ali is walking int the same direction with Faizer= (X-Y)mph
hence, according to question, 27/(X-Y)=9 ; solving X-Y=3; --- (1)Now relative speed when walking in the opposite direction= (X+Y) mph
hence, according to question, 27/(X+y)=3; solving X+Y=9; --- (2)solving 1 and 2 we get X=6 and Y=3, where X is the speed of Ali.
- 1. You drive to the store at 20 kmph and return by the same route at 30 kmph. Discounting the time spent at the store, what was your average speed ?
Options- A. 25 kmph
- B. 24 kmph
- C. 26 kmph
- D. 22 kmph Discuss
- 2. A train travels 325 km in 3.5 hours and 470 km in 4 hours. Find the average speed of train ?
Options- A. 107 kmph
- B. 106 kmph
- C. 72 kmph
- D. 76 kmph Discuss
- 3. Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?
Options- A. 36
- B. 39
- C. 42
- D. 45 Discuss
- 4. A train-A passes a stationary train B and a pole in 24 sec and 9 sec respectively. If the speed of train A is 48 kmph, what is the length of train B?
Options- A. 200 mts
- B. 180 mts
- C. 160 mts
- D. 145 mts Discuss
- 5. Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 20kmph and Prasanna moves southward at a speed of 30 kmph. How far will be Prasanna from Laxmi after 60 minutes ?
Options- A. 24 km
- B. 50 km
- C. 42 km
- D. 30 km Discuss
- 6. Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ?
Options- A. 2 hrs
- B. 20 min
- C. 40 min
- D. 30 min Discuss
- 7. How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Options- A. 48
- B. 52
- C. 38
- D. 42 Discuss
- 8. A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ?
Options- A. 55 kmph
- B. 58 kmph
- C. 60 kmph
- D. 66 kmph Discuss
- 9. Joel travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Joel's travel in kmph ?
Options- A. 38 kmph
- B. 40 kmph
- C. 60 kmph
- D. 54 kmph Discuss
- 10. Two trains are running with speeds 30 kmph and 58 kmph respectively in the same direction. A man in the slower train passes the faster train in 18 seconds. Find the length of the faster train?
Options- A. 105 mts
- B. 115 mts
- C. 120 mts
- D. 140 mts Discuss
Time and Distance problems
Search Results
Correct Answer: 24 kmph
Explanation:
Average speed=total distance/total time
Let distance to store be K
then, total time =(K/20)+(K/30)=K/12
and, total time =(2K)
so average speed= 2K / (K/12) = 24kmph.
Correct Answer: 106 kmph
Explanation:
As we know that Speed = Distance / Time
for average speed = Total Distance / Total Time Taken
Thus, Total Distance = 325 + 470 = 795 km
Thus, Total Speed = 7.5 hrs
Average Speed = 795/7.5 => 106 kmph.
Correct Answer: 42
Correct Answer: 200 mts
Explanation:
Length of train A = 48 x 9 x 5/18 = 120 mts
Length of train B = 48 x 24 x 5/18 - 120
=> 320 - 120 = 200 mts.
Correct Answer: 50 km
Explanation:
We know 60 min = 1 hr
Total northward Laxmi's distance = 20kmph x 1hr = 20 km
Total southward Prasanna's distance = 30kmph x 1hr = 30 km
Total distance between Prasanna and Laxmi is = 20 + 30 = 50 km.
Correct Answer: 20 min
Explanation:
In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.
Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.
stoppage time = 20/60 hrs = 20 min.
Correct Answer: 48
Explanation:
Here distance d = 800 mts
speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s
time t = = 48 sec.
Correct Answer: 60 kmph
Explanation:
Speed on return trip = 150% of 50 = 75 km/hr.
Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.
Correct Answer: 60 kmph
Explanation:
Average speed = Total distance / Total time.
Total distance traveled by Joel = Distance covered in the first 3 hours + Distance covered in the next 5 hours.
Distance covered in the first 3 hours = 3 x 60 = 180 miles
Distance covered in the next 5 hours = 5 x 24 = 120 miles
Therefore, total distance traveled = 180 + 120 = 300 miles.
Total time taken = 3 + 5 = 8 hours.
Average speed = 300/8 = 37.5 mph.
we know that 1 mile = 1.6 kms
=> 37.5 miles = 37.5 x 1.6 = 60 kms
Average speed in Kmph = 60 kmph.
Correct Answer: 140 mts
Explanation:
Speeds of two trains = 30 kmph and 58 kmph
=> Relative speed = 58 - 30 = 28 kmph = 28 x 5/18 m/s = 70/9 m/s
Given a man takes time to cross length of faster train = 18 sec
Now, required Length of faster train = speed x time = 70/9 x 18 = 140 mts.
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